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3290857921 = 132933892221
BaseRepresentation
bin1100010000100110…
…1000000111000001
322111100022220101201
43010021220013001
523214424423141
61302314301201
7144356554651
oct30411500701
98440286351
103290857921
11143967029a
1277a127801
13405a31110
142330ba361
15143d99031
hexc42681c1

3290857921 has 16 divisors (see below), whose sum is σ = 3566843280. Its totient is φ = 3018205440.

The previous prime is 3290857919. The next prime is 3290857937. The reversal of 3290857921 is 1297580923.

It can be written as a sum of positive squares in 8 ways, for example, as 3441025 + 3287416896 = 1855^2 + 57336^2 .

It is a cyclic number.

It is not a de Polignac number, because 3290857921 - 21 = 3290857919 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3290857991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480591 + ... + 1482811.

It is an arithmetic number, because the mean of its divisors is an integer number (222927705).

Almost surely, 23290857921 is an apocalyptic number.

It is an amenable number.

3290857921 is a deficient number, since it is larger than the sum of its proper divisors (275985359).

3290857921 is a wasteful number, since it uses less digits than its factorization.

3290857921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916.

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 3290857921 is about 57365.9996949413. Note that the first 3 decimals coincide. The cubic root of 3290857921 is about 1487.4294553650.

The spelling of 3290857921 in words is "three billion, two hundred ninety million, eight hundred fifty-seven thousand, nine hundred twenty-one".

Divisors: 1 13 293 389 2221 3809 5057 28873 113977 650753 863969 1481701 8459789 11231597 253142917 3290857921